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Simplifying -4(3y + 2) + -4 = -6(y + 4) + 3y Reorder the terms: -4(2 + 3y) + -4 = -6(y + 4) + 3y (2 * -4 + 3y * -4) + -4 = -6(y + 4) + 3y (-8 + -12y) + -4 = -6(y + 4) + 3y Reorder the terms: -8 + -4 + -12y = -6(y + 4) + 3y Combine like terms: -8 + -4 = -12 -12 + -12y = -6(y + 4) + 3y Reorder the terms: -12 + -12y = -6(4 + y) + 3y -12 + -12y = (4 * -6 + y * -6) + 3y -12 + -12y = (-24 + -6y) + 3y Combine like terms: -6y + 3y = -3y -12 + -12y = -24 + -3y Solving -12 + -12y = -24 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -12 + -12y + 3y = -24 + -3y + 3y Combine like terms: -12y + 3y = -9y -12 + -9y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + -9y = -24 + 0 -12 + -9y = -24 Add '12' to each side of the equation. -12 + 12 + -9y = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -9y = -24 + 12 -9y = -24 + 12 Combine like terms: -24 + 12 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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